Math Project

Contents of project •Project Title. •Types Of Triangles. •Definitions Of Triangles. •Construction Of Triangles. •Some General Properties

PROJECT TITLE Triangle

TRIANGLE

•Any figure bounded by three sides is a

Types of Triangles

Types of triangle •According to sides. •According to angles.

According to sides •Scalene triangle. •Isosceles triangle. •Equilateral triangle.

According to angles •Acute angled triangle. •Obtuse angled triangle. •Right angled

Definitions of Triangles

Definition of acute angled triangle. •If each angle is less than 90ºthen the triangle is called an

Definition of right angled triangle. •If any one angle is a right angle then the triangle is called a right

Definition of obtuse angled triangle.

•If any one angle is greater than 90º then the triangle is called an

Definition of scalene triangle.

•A triangle which has not equal sides is called scalene triangle.

Definition Of Isosceles Triangle •A triangle which has two sides equal is called an isosceles triangle.

Equilateral Triangle

•A triangle which has all the three sides equal ,is called an Equilateral

Construction s of Triangles

Construction of triangle • Construction of scalene triangle:• Draw a triangle ABC in which all the three sides are given: AB=5cm, BC=6cm, AC =4cm. • Draw a line segment BC=6cm. • With B as centre and radius AB=5cm,draw an arc of the circle on one side of BC. • With C as centre and radius AC=4cm,draw another arc interesting the first arc at A.

Construction of isosceles triangle • Draw a line segment BC =5cm . • Draw a triangle ABC in which all three sides are given AB=5cm ,BC=5cm ,AC=6cm. • With B centre and radius AB=4cm ,draw an arc of the circle on one side of BC. • With C as centre and radius AC=6cm. Draw another arc interesting the first arc at. •

Construction of Equilateral Triangle • Draw a triangle in which all the sides are given: AB=7cm, BC=7cm , AC=7cm. • Draw a line segment BC=7cm. • With B as centre and radius AB=7cm draw an arc of the circle on one side of BC=7cm. • With C as centre and radius AC=7cm,draw

Right Angled Triangle • Draw a line segment AB of length 4cm . • At A draw angle XAB of measure 90º. • With centre B and A radius 5cm draw an arc

Some General Properties of Triangles

Properties of triangle

• The angles inside a triangle are called interior angles ,these formed by extending a side of the triangle exterior angles. • The sum of the interior angles of any triangle equal 180º.Also an exterior angle is equal to the sum of the remote interior angle . • Angle ACD=Angle CAB+ Angle ABC. • Angle CAB=60º • Angle ABC=70º

Pythagorean Theorem • A right triangle is a triangle in which one angle is a right angle , the sides opposite the right angle is called the Hypotenuse, the two Adjacent sides ,the legs. The famous Pythagorean theorem states that square of Hypotenuse of a right triangle is equal of the sum of the square of

The Area of Triangle • The area of any triangle is equal to the product of one half of a base and the altitude perpendicular to that base: A=1/2bh

GENERAL PROPERTIES 0F TRIANGLE • The sum of the three angles of a triangle is 180° • In a triangle an exterior angle equal’s the sum of the two interior opposite angle. • The sum of any two sides of a triangle is greater than the third side .

Sub. teacher :

•Mrs. Harvinder kaur Math. Mistress